Nonlocal Symmetries of Systems of Evolution Equations | Zendy

Renat Zhdanov | Zendy

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Nonlocal Symmetries of Systems of Evolution Equations

Author(s) -

Renat Zhdanov

Publication year - 2011

Publication title -

advances in mathematical physics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.283

H-Index - 23

eISSN - 1687-9139

pISSN - 1687-9120

DOI - 10.1155/2011/456784

Subject(s) - homogeneous space , symmetry (geometry) , transformation (genetics) , computation , mathematics , evolution equation , mathematical physics , core (optical fiber) , physics , theoretical physics , classical mechanics , pure mathematics , mathematical analysis , geometry , biochemistry , chemistry , algorithm , optics , gene

We prove that any potential symmetry of a system of evolution equations reduces to a Lie symmetry through a nonlocal transformation of variables. This fact is in the core of our approach to computation of potential and more general nonlocal symmetries of systems of evolution equations having nontrivial Lie symmetry. Several examples are considered

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